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This section includes 437 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
51. |
A train increases its normal speed by 12.5% and reaches its destination 20 min earlier. What is the actual time taken by the train in the journey ? |
A. | 45 minutes |
B. | 60 minutes |
C. | 80 minutes |
D. | 20 minutes |
Answer» D. 20 minutes | |
52. |
An aeroplane flies from place A to place B at the speed of 500 km/hr. On the return journey, its speed is 700 km/hr. The average speed of the aeroplane for the entire journey is ? |
A. | $566\frac{2}{3}{\text{ km/hr}}$$ |
B. | $583\frac{1}{3}{\text{ km/hr}}$$ |
C. | $583\frac{2}{3}{\text{ km/hr}}$$ |
D. | $600{\text{ km/hr}}$$ |
Answer» C. $583\frac{2}{3}{\text{ km/hr}}$$ | |
53. |
An express train travelled at an average speed of 100 kmph, stopping for 3 min after 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 min after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time it took the express train to travel 600 km ? |
A. | 87.5 km |
B. | 07.5 km |
C. | 25 km |
D. | 96 km |
Answer» C. 25 km | |
54. |
A is 10 miles west of B. C is 30 miles north of B. D is 20 miles east of C. What is the distance from A to D ? |
A. | 0 miles |
B. | 0 miles |
C. | $10\sqrt {10} $$miles |
D. | $10\sqrt {13} $$miles |
E. | $30\sqrt {2} $$miles |
Answer» F. | |
55. |
The speeds of John and Max are 30 km/hr and 40 km/hr. Initially Max is at a place L and Jhon is at a place M. The distance between L and M is 650 kms. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is : |
A. | 20 kms |
B. | 50 kms |
C. | 30 kms |
D. | 20 kms |
Answer» D. 20 kms | |
56. |
A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips ? |
A. | 6 kmph |
B. | 5 kmph |
C. | 8 kmph |
D. | 0 kmph |
Answer» D. 0 kmph | |
57. |
A long distance runner run 9 laps of a 400 metres track everyday. His timings (in min) for four consecutive days are 88, 96, 89 and 87 respectively. On an average, how many metres/minutes does the runner cover ? |
A. | 7.78 m/min |
B. | 0 m/min |
C. | 0 m/min |
D. | one of these |
Answer» C. 0 m/min | |
58. |
The average speed of a bus is one-third of the speed of a train. The train covers 1125 km in 15 hours. How much distance will the bus coverin 36 minutes ? |
A. | 2 km |
B. | 8 km |
C. | 1 km |
D. | 5 km |
E. | one of these |
Answer» F. | |
59. |
How long must a driver take to drive the final 70 miles of a trip if he wants to average 50 miles an hour for the entire trip and during the first part of the trip he drove 50 miles in$$1\frac{1}{2}$$ hours ? |
A. | 4 min |
B. | hr |
C. | 6 min |
D. | 0 min |
Answer» B. hr | |
60. |
Car A travels at the speed of 65 km/hr and reaches its destination in 8 hours. Car B travels at the speed of 70 km/hr and reaches its destination in 4 hours. What is the ratio of the distance covered by car A and car B respectively ? |
A. | : 11 |
B. | 3 : 7 |
C. | : 13 |
D. | 1 : 7 |
E. | one of these |
Answer» C. : 13 | |
61. |
A train leaves Delhi at 4.1 pm and reaches Aligargh at 7.25 pm. The average speed of the train is 40 km/hr. What is the distance from Delhi to Aligarh ? |
A. | 20 km |
B. | 30 km |
C. | 35 km |
D. | 40 km |
Answer» C. 35 km | |
62. |
Train A travelling at 60 km/hr leaves Mumbai for Delhi at 6 pm. Train B travelling at 90 km/hr also leaves Mumbai for Delhi at 9 pm. Train C leaves Delhi for Mumbai at 9 pm. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C if the distance between Delhi and Mumbai is 1260 km ? |
A. | 0 km/hr |
B. | 0 km/hr |
C. | 20 km/hr |
D. | 35 km/hr |
Answer» D. 35 km/hr | |
63. |
An athlete claimed that his timing for a 100 m dash should be corrected because the starting signal was gives by a gun fired from a point 10 m away from him and the timekeeper was standing close to the gun. The error due to this could be (in seconds) : |
A. | .03 sec |
B. | .1 sec |
C. | .5 sec |
D. | .7 sec |
Answer» B. .1 sec | |
64. |
In a flight of 6000 km, an aircraft was slowed down due to bad weather. The average speed for the trip was reduced by 400 kmph and the time of flight increased by 30 minutes. The original planned duration of the flight was : |
A. | ${2\frac{1}{2}}$$ hours |
B. | ${3\frac{1}{3}}$$ hours |
C. | ${4\frac{1}{3}}$$ hours |
D. | ${5\frac{1}{3}}$$ hours |
Answer» B. ${3\frac{1}{3}}$$ hours | |
65. |
Walking $${\frac{6}{7}}$$ th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is : |
A. | hour |
B. | hr 12 min |
C. | hr 15 min |
D. | hr 20 min |
Answer» C. hr 15 min | |
66. |
A and B start from the same point and in the same direction at 7 am to walk around a rectangular field 400 m × 300 m. A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively. How many times shall they cross each other if they continue to walk till 12.30 pm ? |
A. | ot even once |
B. | nce |
C. | wice |
D. | hrice |
Answer» C. wice | |
67. |
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is : |
A. | 00 kmph |
B. | 10 kmph |
C. | 20 kmph |
D. | 30 kmph |
Answer» D. 30 kmph | |
68. |
A man on tour travels 160 km by car at 64 km/hr and another 160 km by bus at 80 km/hr. The average speed for the whole journey is : |
A. | 5.55 km/hr |
B. | 6 km/hr |
C. | 1.11 km/hr |
D. | 1 km/hr |
Answer» D. 1 km/hr | |
69. |
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in $$1\frac{2}{3}$$ hours, it must travel at a speed of : |
A. | 00 kmph |
B. | 60 kmph |
C. | 00 kmph |
D. | 20 kmph |
Answer» E. | |
70. |
A boy is running at a speed of p kmph to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q kmph (p > q). If he takes r hours to cover the distance, then: |
A. | $\frac{1}{r} = p - q$$ |
B. | $r = p - q$$ |
C. | $\frac{1}{r} = p + q$$ |
D. | $r = p + r$$ |
Answer» B. $r = p - q$$ | |
71. |
Ashok left from place A for place B at 8 am and Rahul left place B for place A at 10.00 am the distance between place A and B is 637 km. If Ashok and Rahul are travelling at a uniform speed of 39 kmph and 47 kmph respectively, at what time will they meet ? |
A. | .30 pm |
B. | .30 pm |
C. | pm |
D. | pm |
Answer» C. pm | |
72. |
A distance of 425 km separates two trains moving towards each other at a speed of 200 km/hr each. What will be the distance between them after 1 hr 30 min, if they reduce their speed by half, every half an hour ? |
A. | 5 km |
B. | 20 km |
C. | 50 km |
D. | 00 km |
Answer» B. 20 km | |
73. |
Amit travelled black to home in a car, after visiting his friend in a distant village. When he stated at his friend's house the car had exactly 18 litres of petrol in it. He travelled along at a steady 40 kilometres per hour and managed a 10 kilometres per litre of petrol. As the car was old, the fuel tank lost fuel at the rate of half a litre per hour. Amit was lucky as his car stopped just in front of his home because it had rum out of fuel and he only just made it. How far was it from his friend's home to Amit's home ? |
A. | 50 km |
B. | 70 km |
C. | 80 km |
D. | one of these |
Answer» E. | |
74. |
A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities ? |
A. | 20 km |
B. | 40 km |
C. | 00 km |
D. | 50 km |
Answer» B. 40 km | |
75. |
A train travels at a speed of 30 km/hr for 12 minutes and at a speed of 45 km/hr for the next 8 minutes. The average speed of the train for this journey is : |
A. | 0 km/hr |
B. | 6 km/hr |
C. | 7.5 km/hr |
D. | 8 km/hr |
Answer» C. 7.5 km/hr | |
76. |
Anna left for city A from city B at 5.20 am. She travelled at the speed of 80 km/hr for 2 hours 15 minutes. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach reach city A ? |
A. | .20 am |
B. | .25 am |
C. | .35 am |
D. | 0.05 am |
E. | one of these |
Answer» F. | |
77. |
An aeroplane flies twice as fast as a train which covers 60 miles in 80 minutes. What distance will the aeroplane cover in 20 minutes ? |
A. | 0 miles |
B. | 5 miles |
C. | 0 miles |
D. | 0 miles |
Answer» B. 5 miles | |
78. |
A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/hr and rest at 45 km/hr. Find the total distance travelledby him ? |
A. | $1028\frac{6}{7}$$ km |
B. | $189$$ km |
C. | $378$$ km |
D. | $270$$ km |
Answer» E. | |
79. |
Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively. If the circumference of the circle is 300 metres, after what time will they meet at the starting point ? |
A. | 0 sec |
B. | 00 sec |
C. | 00 sec |
D. | 00 sec |
Answer» E. | |
80. |
A ship, 40 kilometres from the shore, springs a leak which admits $$3\frac{3}{4}$$ tonnes of water in 12 minutes. 60 tonnes would suffice to sink her, but the ship's pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that she may reach the shore just as she begging to sink ? |
A. | $1\frac{1}{2}$$ km/hr |
B. | $2\frac{1}{2}$$ km/hr |
C. | $3\frac{1}{2}$$ km/hr |
D. | $4\frac{1}{2}$$ km/hr |
Answer» E. | |
81. |
A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, then it would have taken 4 hours less then the scheduled time. And, if the train were slower by 6 km/hr, then the train would have take 6 hours more than the scheduled time. The length of the journey is : |
A. | 00 km |
B. | 20 km |
C. | 40 km |
D. | 60 km |
Answer» C. 40 km | |
82. |
A car covers the first 39 kms of its journey in 45 minutes and covers the remaining 25 km in 35 minutes. What is the average speed of the car ? |
A. | 0 km/hr |
B. | 8 km/hr |
C. | 9 km/hr |
D. | 4 km/hr |
E. | one of these |
Answer» C. 9 km/hr | |
83. |
A takes 2 hours more than B to walk d km, but if A doubles his speed, then he can make it in 1 hour less than B. How much times does B required for walking d km ? |
A. | $\frac{d}{2}$$ hours |
B. | hours |
C. | hours |
D. | $\frac{2d}{3}$$ hours |
Answer» D. $\frac{2d}{3}$$ hours | |
84. |
Deepa rides her bike at an average speed of 30 km/hr and reaches her destination in 6 hours. Hema covers the same distance in 4 hours. If Deepa increases her average speed by 10 km/hr and Hemaincreases her average speed by 5 km/hr, what would be the difference in their time taken to reach the destination ? |
A. | 0 min |
B. | 5 min |
C. | 4 min |
D. | hr |
E. | one of these |
Answer» D. hr | |
85. |
The speed of a bus is 72 kmph. The distance covered by the bus in 5 sec is : |
A. | 0 metres |
B. | 4.5 metres |
C. | 00 metres |
D. | 0 metres |
Answer» D. 0 metres | |
86. |
A and B walk around a circular track. They start at 8 am from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 am ? |
A. | times |
B. | times |
C. | times |
D. | times |
Answer» D. times | |
87. |
A runs twice as fast as B and B runs thrice as fast as C. The distance covered by C in 72 minutes, will be covered by A in : |
A. | 2 min |
B. | 6 min |
C. | 8 min |
D. | 4 min |
Answer» B. 6 min | |
88. |
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is : |
A. | $35$$ km |
B. | $36\frac{2}{3}$$ km |
C. | $37\frac{1}{2}$$ km |
D. | $40$$ km |
Answer» E. | |
89. |
I started on my bicycle at 7 am to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 pm. If my cycling speed is 10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance of : |
A. | $4\frac{61}{66}$$ km |
B. | $13\frac{4}{9}$$ km |
C. | $14\frac{3}{8}$$ km |
D. | $15\frac{10}{21}$$ km |
Answer» B. $13\frac{4}{9}$$ km | |
90. |
The speed of electric train is 25% more than that of steam engine train. What is the time taken by an electric train to cover a distance which a steam engine takes 4 hours 25 minutes to cover ? |
A. | $3\frac{1}{10}$$ hrs |
B. | $3\frac{11}{15}$$ hrs |
C. | $3\frac{11}{12}$$ hrs |
D. | $3\frac{8}{15}$$ hrs |
Answer» E. | |
91. |
Rani goes to school from her house in 30 minutes. Raja takes 45 minutes in covering the same distance. Find the ratio between time taken by Rani and Raja ? |
A. | : 3 |
B. | : 3 |
C. | : 2 |
D. | : 3 |
Answer» B. : 3 | |
92. |
Train A leaves Ludhiana for Delhi at 11 am, running at the speed of 60 km/hr. Train B leaves Ludhiana for Delhi by the same route at 2 pm on the same day, running at the speed of 72 km/hr. At what time will the two trains meet each other ? |
A. | am on the next day |
B. | am on the next day |
C. | pm on the next day |
D. | one of these |
Answer» C. pm on the next day | |
93. |
A walk at a uniform rate of 4 km an hour; and 4 hr after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A ? |
A. | 6.7 km |
B. | 8.6 km |
C. | 1.5 km |
D. | 6.7 km |
Answer» E. | |
94. |
A journey of 192 km between two cities take 2 hours less by a fast train than by a slow train. If the average speed of the slow train is 16 km/hr less than that of the fast train, the average speed of the fast train is : |
A. | 2 km/hr |
B. | 6 km/hr |
C. | 8 km/hr |
D. | 4 km/hr |
Answer» D. 4 km/hr | |
95. |
A train running at $$\frac{7}{11}$$ of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed ? |
A. | hr |
B. | hr |
C. | 4 hr |
D. | 6 hr |
Answer» C. 4 hr | |
96. |
A motorcyclist completes a certain journey in 5 hours. He covers one-third distance at 60 km/hr and the rest at 80 km/hr. The length of the journey is : |
A. | 80 km |
B. | 40 km |
C. | 00 km |
D. | 60 km |
Answer» E. | |
97. |
An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ? |
A. | hr 21 min |
B. | hr 24 min |
C. | hr 27 min |
D. | hr 30 min |
Answer» B. hr 24 min | |
98. |
In track meet s both 100 yards and 100 metres are used as distance. By how many metres is 100 metres longer than 100 yards ? |
A. | .0856 m |
B. | .856 m |
C. | m |
D. | .56 m |
Answer» E. | |
99. |
If a runner takes as much time in running 20 metres as the car takes in covering 50 metres. The distance covered by the runner during the time the car covers 1 km is : |
A. | 00 metres |
B. | 0 metres |
C. | 40 metres |
D. | one of these |
Answer» B. 0 metres | |
100. |
Points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the faster car ? |
A. | 0 km/hr |
B. | 0 km/hr |
C. | 0 km/hr |
D. | 0 km/hr |
Answer» C. 0 km/hr | |